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Finding the Fourth Proportional to 3,496.69, 4,825.47 and 1,924.82

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Solution

The fourth proportional to 3,496.69, 4,825.47 and 1,924.82 is: 2,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.69 : 4,825.47 = 1,924.82 : x
  2. Step 2: Convert to fraction form
    3,496.69/4,825.47 = 1,924.82/x
  3. Step 3: Cross multiply
    3,496.69x = 4,825.47 × 1,924.82
  4. Step 4: Simplify right side
    3,496.69x = 9,288,127.41
  5. Step 5: Solve for x
    x = 9,288,127.41/3,496.69
  6. Step 6: Final answer
    x = 2,656.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.